Subjects calculus

Limit X Zero

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Limit X Zero


1. The problem asks for the limit of the function as $x$ approaches 0 based on the graph. 2. The limit of a function as $x$ approaches a value $a$ is the value that $f(x)$ approaches as $x$ gets closer to $a$ from both sides. 3. From the graph description, the curve crosses the y-axis (where $x=0$) at approximately $y = -1$. 4. Since the curve approaches the same value from the left and right near $x=0$, the limit is the y-value at the crossing point. 5. Therefore, $$\lim_{x \to 0} f(x) = -1.$$